And having raised the cover, put one’s initials on it (7)
I believe the answer is:
branded
'and having raised the cover' is the definition.
I can't judge whether this defines the answer.
'one's initials on it' is the wordplay.
I cannot really understand how this works, but
'it' could be 'e' ('e' can mean 'electronic' which is similar to 'IT') and 'e' is present in the answer.
'one' could be 'an' (an apple is one apple) and 'an' is present in the answer.
This explanation may well be incorrect...
'put' acts as a link.
Can you help me to learn more?
(Other definitions for branded that I've seen before include "Hallmarked" , "Marked with a symbol indicating exclusive rights" , "Censured" , "(Of cattle) marked" .)